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Finding the Fourth Proportional to 325.26, 448.85 and 187.26

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Solution

The fourth proportional to 325.26, 448.85 and 187.26 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.26 : 448.85 = 187.26 : x
  2. Step 2: Convert to fraction form
    325.26/448.85 = 187.26/x
  3. Step 3: Cross multiply
    325.26x = 448.85 × 187.26
  4. Step 4: Simplify right side
    325.26x = 84,051.65
  5. Step 5: Solve for x
    x = 84,051.65/325.26
  6. Step 6: Final answer
    x = 258.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.